Online GCD Calculator is useful to find the GCD of 371, 538, 828, 116 quickly. Get the easiest ways to solve the greatest common divisor of 371, 538, 828, 116 i.e 1 in different methods as follows.
Given Input numbers are 371, 538, 828, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (371, 538, 828, 116) = 1.
Given numbers are 371, 538, 828, 116
The list of prime factors of all numbers are
Prime factors of 371 are 7 x 53
Prime factors of 538 are 2 x 269
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 116 are 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 371, 538, 828, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(371, 538) = 199598
GCD(371, 538) = ( 371 x 538 ) / 199598
= 371 / 538
= 371
Step2:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
Step3:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
So, Greatest Common Divisor of 371, 538, 828, 116 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 371, 538, 828, 116
The greatest common divisor of numbers 371, 538, 828, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 371, 538, 828, 116 is 1.
1. What is the GCD of 371, 538, 828, 116?
GCD of given numbers 371, 538, 828, 116 is 1
2. How to calculate the greatest common divisor of 371, 538, 828, 116?
We can find the highest common divisor of 371, 538, 828, 116 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 371, 538, 828, 116 i.e 1.
3. How can I use the GCD of 371, 538, 828, 116Calculator?
Out the numbers 371, 538, 828, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.